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Finding the Fourth Proportional to 532,199.90, 798,426.96 and 177,217.00

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Solution

The fourth proportional to 532,199.90, 798,426.96 and 177,217.00 is: 265,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,199.90 : 798,426.96 = 177,217.00 : x
  2. Step 2: Convert to fraction form
    532,199.90/798,426.96 = 177,217.00/x
  3. Step 3: Cross multiply
    532,199.90x = 798,426.96 × 177,217.00
  4. Step 4: Simplify right side
    532,199.90x = 141,494,827,909.69
  5. Step 5: Solve for x
    x = 141,494,827,909.69/532,199.90
  6. Step 6: Final answer
    x = 265,867.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.